Mathematics International 0607: Functions Topical Past Paper Questions

In this task you will look at investing money in an account that pays compound interest. \$ $P$ is invested at a rate of $R\%$ per unit of time. There is a total of \$ $A$ in the account at the end of $n$ units of time. A unit of time may be a year or a month. $$A = Pr^{n} \qquad…

$ f(x) = x^{4} + 4x^{3} $ for values of x between -4.5 and 2. 1(x) - x \mid 7x \quad 101 values of x outwoon 7.5 and 2. (a) On the diagram, sketch the graph of $ y = f(x) $. [2] (b) Write down the zeros of $ f(x) $. [2] (c) Write down the coordinates of the local minimum point. (…

f(x) = 5x - 1 \quad g(x) = x^2 + x \quad h(x) = (x - 1)^3 The domain for all three functions is x > 2. (a) Find f(3). [1] (b) Find the range of f(x). [1] (c) Find g(f(4)). [2] (d) Find $ h^{-1}(x) $. (e) Simplify fully. $ \frac{10h(x)}{f(x) - 4} $ [3]